{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "from time import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = torch.ones(1000)\n",
    "b = torch.ones(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.030465364456176758\n"
     ]
    }
   ],
   "source": [
    "start = time()\n",
    "c = torch.zeros(1000)\n",
    "for i in range(1000):\n",
    "    c[i] = a[i] + b[i]\n",
    "print(time()-start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0007534027099609375\n"
     ]
    }
   ],
   "source": [
    "start = time()\n",
    "d = a + b\n",
    "print(time() - start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([11., 11., 11.])\n"
     ]
    }
   ],
   "source": [
    "a = torch.ones(3)\n",
    "b = 10\n",
    "print(a + b)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "from IPython import display\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_inputs = 2\n",
    "num_examples = 1000\n",
    "true_w = [2, -3.4]\n",
    "true_b = 4.2\n",
    "features = torch.randn(num_examples, num_inputs,\n",
    "                       dtype=torch.float32)\n",
    "labels = true_w[0] * features[:, 0] + true_w[1] * features[:, 1] + true_b\n",
    "labels += torch.tensor(np.random.normal(0, 0.01, size=labels.size()),\n",
    "                       dtype=torch.float32)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([-0.2755, -0.0382]) tensor(3.7809)\n"
     ]
    }
   ],
   "source": [
    "print(features[0], labels[0])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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    "def use_svg_display():\n",
    "    # 用矢量图显示\n",
    "    display.set_matplotlib_formats('svg')\n",
    "\n",
    "def set_figsize(figsize=(3.5, 2.5)):\n",
    "    use_svg_display()\n",
    "    # 设置图的尺寸\n",
    "    plt.rcParams['figure.figsize'] = figsize\n",
    "\n",
    "# # 在../d2lzh_pytorch里面添加上面两个函数后就可以这样导入\n",
    "# import sys\n",
    "# sys.path.append(\"..\")\n",
    "# from d2lzh_pytorch import * \n",
    "\n",
    "set_figsize()\n",
    "plt.scatter(features[:, 1].numpy(), labels.numpy(), 1);\n"
   ]
  },
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   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 本函数已保存在d2lzh包中方便以后使用\n",
    "def data_iter(batch_size, features, labels):\n",
    "    num_examples = len(features)\n",
    "    indices = list(range(num_examples))\n",
    "    random.shuffle(indices)  # 样本的读取顺序是随机的\n",
    "    for i in range(0, num_examples, batch_size):\n",
    "        j = torch.LongTensor(indices[i: min(i + batch_size, num_examples)]) # 最后一次可能不足一个batch\n",
    "        yield  features.index_select(0, j), labels.index_select(0, j)\n"
   ]
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   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-0.8919,  0.0696],\n",
      "        [ 1.0756, -0.2512],\n",
      "        [-0.9683, -2.7944],\n",
      "        [ 1.9934, -0.9032],\n",
      "        [ 1.2695, -1.1972],\n",
      "        [-0.0826,  1.2306],\n",
      "        [-0.1839, -1.2061],\n",
      "        [ 1.7017, -1.1395],\n",
      "        [ 1.5158, -0.2719],\n",
      "        [ 0.2896,  1.0917]]) tensor([ 2.1854,  7.2165, 11.7643, 11.2695, 10.8134, -0.1470,  7.9228, 11.4707,\n",
      "         8.1804,  1.0769])\n"
     ]
    }
   ],
   "source": [
    "batch_size = 10\n",
    "\n",
    "for X, y in data_iter(batch_size, features, labels):\n",
    "    print(X, y)\n",
    "    break\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = torch.tensor(np.random.normal(0, 0.01, (num_inputs, 1)), dtype=torch.float32)\n",
    "b = torch.zeros(1, dtype=torch.float32)\n"
   ]
  },
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   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
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     "data": {
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      ]
     },
     "execution_count": 13,
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   "source": [
    "w.requires_grad_(requires_grad=True)\n",
    "b.requires_grad_(requires_grad=True) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def linreg(X, w, b):  # 本函数已保存在d2lzh_pytorch包中方便以后使用\n",
    "    return torch.mm(X, w) + b\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def squared_loss(y_hat, y):  # 本函数已保存在d2lzh_pytorch包中方便以后使用\n",
    "    # 注意这里返回的是向量, 另外, pytorch里的MSELoss并没有除以 2\n",
    "    return (y_hat - y.view(y_hat.size())) ** 2 / 2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sgd(params, lr, batch_size):  # 本函数已保存在d2lzh_pytorch包中方便以后使用\n",
    "    for param in params:\n",
    "        param.data -= lr * param.grad / batch_size # 注意这里更改param时用的param.data\n"
   ]
  },
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   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1, loss 0.032367\n",
      "epoch 2, loss 0.000106\n",
      "epoch 3, loss 0.000049\n"
     ]
    }
   ],
   "source": [
    "lr = 0.03\n",
    "num_epochs = 3\n",
    "net = linreg\n",
    "loss = squared_loss\n",
    "\n",
    "for epoch in range(num_epochs):  # 训练模型一共需要num_epochs个迭代周期\n",
    "    # 在每一个迭代周期中，会使用训练数据集中所有样本一次（假设样本数能够被批量大小整除）。X\n",
    "    # 和y分别是小批量样本的特征和标签\n",
    "    for X, y in data_iter(batch_size, features, labels):\n",
    "        l = loss(net(X, w, b), y).sum()  # l是有关小批量X和y的损失\n",
    "        l.backward()  # 小批量的损失对模型参数求梯度\n",
    "        sgd([w, b], lr, batch_size)  # 使用小批量随机梯度下降迭代模型参数\n",
    "\n",
    "        # 不要忘了梯度清零\n",
    "        w.grad.data.zero_()\n",
    "        b.grad.data.zero_()\n",
    "    train_l = loss(net(features, w, b), labels)\n",
    "    print('epoch %d, loss %f' % (epoch + 1, train_l.mean().item()))\n"
   ]
  },
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   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, -3.4] \n",
      " tensor([[ 2.0000],\n",
      "        [-3.3995]], requires_grad=True)\n",
      "4.2 \n",
      " tensor([4.1993], requires_grad=True)\n"
     ]
    }
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    "print(true_w, '\\n', w)\n",
    "print(true_b, '\\n', b)\n"
   ]
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   "execution_count": null,
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